00:01
All right, so here we have the sample data set that i went ahead and sorted from minimum to maximum with these to greatest.
00:06
First, we want to construct a box plot.
00:11
So we have our standard box plot shape.
00:17
That doesn't, that's not even.
00:22
There we go.
00:23
Pretend that all the lines are even.
00:25
So we want the minimum value here is going to be 22.
00:29
And the maximum value is going to be 48.
00:32
I have 1, 2, 3, 4, 5, 6, 7, 8 data points.
00:37
So dividing it into two, then we're going to take the median of the first set to get the q1.
00:44
The middle two numbers are 23 and 23.
00:47
So the intercortile, sorry, the first quartile is also 23.
00:53
We'll do the same procedure to get q3.
00:56
So of these four second set of four numbers, the middle two are 27 and 38.
01:02
We'll take the average of them, 27 plus 38 divided by 2, 32 .5.
01:07
That's q3.
01:09
For the median, we're looking at the two middle numbers right here, 24 and 25.
01:14
Take the average of them, so that's going to be 24 .5.
01:20
And then if we wanted the interquartile range, we're going to take 32 .5 minus 23, q3 minus q1, and we get 9 .5.
01:31
All right.
01:33
For part b, we want to know if there are any outliers.
01:40
So if we take the interquotile range 9 .5, and we'll, multiply it by 1 .5.
01:48
I'll just write that out.
01:51
Then we get 14 .25.
02:07
And then let's take the q1 value minus the 14 .25 and the q3 value plus the 14 .25 to get the bounds for the outliers.
02:20
So q1 is going to be 23.
02:28
Q3 is 32 .5...